820328 has 24 divisors (see below), whose sum is σ = 1602390. Its totient is φ = 393600.

The previous prime is 820321. The next prime is 820331. The reversal of 820328 is 823028.

It can be written as a sum of positive squares in 3 ways, for example, as 77284 + 743044 = 278^2 + 862^2 .

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (820321) by changing a digit.

820328 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13418 + ... + 13478.

2⁸²⁰³²⁸ is an apocalyptic number.

It is an amenable number.

820328 is a deficient number, since it is larger than the sum of its proper divisors (782062).

820328 is a wasteful number, since it uses less digits than its factorization.

820328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 820328 is about 905.7196034094. The cubic root of 820328 is about 93.6114944366.

The spelling of 820328 in words is "eight hundred twenty thousand, three hundred twenty-eight".